To review the solution to a similar problem, consult Interactive Solution 1.43. The magnitude of a force vector is 87.4 newtons (N). The x component of this vector is directed along the x axis and has a magnitude of 72.1 N. The y component points along the y axis. (a) Find the angle between and the x axis. (b) Find the component of along the y axis.

Answer:

The torque exerted on the merry-go-round is 766.95 Nm

Explanation:

Given;

mass of the merry-go-round, m = 416 kg

radius of the disk, r = 1.7 m

angular speed of the merry-go-round, ω = 3.7 rad/s

time of motion, t = 2.9 s

The torque exerted on the merry-go-round is calculated as;

\(\tau = Fr= I\alpha\\\\\tau = (\frac{1}{2} m r^2)(\frac{\omega }{t} )\\\\\tau = (\frac{1}{2} \times 416 \times 1.7^2)( \frac{3.7}{2.9} )\\\\\tau = 766.95 \ Nm\)

Therefore, the torque exerted on the merry-go-round is 766.95 Nm

Explanation:

m = 4kg

u = 20m/s

t = 10s

v = 60m/s

initial momentum = mass × initial velocity

= 4 × 20 = 80kgm/s

The tangential acceleration of the short player's ball is twice the tangential acceleration of the tall player's ball.

The ball of the shorter player experiences twofold of the ball of the taller player's tangential acceleration. The reason behind this is that the magnitude of the tangential acceleration correlates directly with the radius of the circle.

The ball belonging to the smaller player is positioned nearer to the elbow, resulting in a decreased radius. It can be deduced from this statement that the ball of the short player experiences twice the magnitude of tangential acceleration compared to the ball of the tall player.

The answer is: ashort = 2atall

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The Complete Question

A short tennis player hits a ball that is r meters from their elbow with an angular acceleration a. A tall tennis player hits a ball with the same angular acceleration where the ball is 2r from their elbow. How does the tangential acceleration of the short player's ball Ashort compare with the tall player's ball a tall? Choose 1 answer: ashort 2atall ashort Otall ashort 1 atall 2

Answer:

equator

Explanation:

in south & north pole you could have 20+ hours daylight or night, everyday!

Answer:

The elastic potential energy stored in a spring can be calculated using the formula:

E = (1/2) kx^2

where E is the elastic potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

Plugging in the given values, we get:

E = (1/2) (80 N/m) (0.1 m)^2

E = (1/2) (80 N/m) (0.01 m^2)

E = 0.4 J

Therefore, the elastic potential energy stored in the spring when it is compressed by 0.1m is 0.4 J.

Answer:

Living organisms collect the energy from the sun, and use water and carbon dioxide to produce sugars in the process known as photosynthesis. Animals can use the energy and sugars that have been provided by the plants. When plants get enough light, plants can make their own food

Plants process energy through photosynthesis, a process that converts light energy into chemical energy. Animals process their energy through cellular respiration, which turns biochemical energy from nutrients into adenosine triphosphate. These processes are interrelated, involving a cycle of oxygen, glucose, carbon dioxide, water and energy.

Plants, such as sunflowers, and animals process energy differently. Photosynthesis is the process by which plants, including sunflowers, convert light energy, usually from the sun, into chemical energy that can be later released to fuel the organisms' activities. This process occurs in the chloroplasts, specifically using the chlorophyll in the leaves.

Animals, on the other hand, get their energy through cellular respiration, a set of metabolic reactions and processes that take place in the cells of organisms to convert biochemical energy from nutrients into adenosine triphosphate (ATP), and then release waste products. Unlike photosynthesis which occurs in the chloroplasts, cellular respiration mostly occurs in the mitochondria.

The two processes, although different, are interrelated. Plants produce oxygen and glucose (sugar) during photosynthesis, which are then used by animals (and plants as well) in cellular respiration to produce carbon dioxide, water and energy. Then the carbon dioxide and water are taken up by the plants to use in photosynthesis.

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Given:

Height, h = 3.00 meters

Mass, m = 0.5 N

Let's find the potential energy.

To find the potential energy, apply the formula:

Where:

• m is the mass in kilograms

• g is acceleration due to gravity = 9.8 m/s²

• h is the height in meters

Let's convert the mass from Newtons to kilograms.

The mass in kilograms is 0.05 kg.

Thus, to find the potential energy, we have:

Therefore, the potential energy of the apple is 1.47 Joules.

ANSWER:

1.47 Joules

Answer:

C. is absorbed or released during a phase change.

Explanation:

The Latent heat is the heat necessary for a phase change, so it is the heat that is absorbed or released during a phase change.

The incident light cause the ejection of an electron, the light impart a certain amount of energy to the electron to overcome the forces that constrain it within the metal.  (V0=E light - ∅/e)

The minimum amount of energy required to overcome these forces is called the work function ∅ Different metals will have different values for ∅. For an electron to reach the detector, the light must impart enough energy for the electron to overcome both the work function and the stopping potential.

Part B

Suppose that the light carries energy E light What is the maximum stopping potential V0 that can be applied while still allowing electrons to reach the detector?

Express your answer in terms, е, E light and ∅,

ANSWER: V0=E light - ∅/e

involving or resulting from electricity-produced magnetism, which is the ability of a thing to attract other objects to it. physics. The term "electromagnetic" also refers to the study of the interaction between electricity and magnetism.

Radio waves, microwaves, infrared rays, visible light, uv light, X-rays, and gamma rays are examples of electromagnetic waves that propagate across space independently of matter.

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The coefficient of kinetic friction between the block and the incline is 0.168.

The coefficient of kinetic friction is determined from the principle of conservation of energy as follows;

distance traveled on the incline = L

L = h/sin35

L = 1.743 h

Since it takes twice the time travel down,

velocity to slide = 1.743 h/2t = 0.871 v

K.E of the block when it slides = ¹/₂mv₁²  = ¹/₂m(0.871v)² = 0.871²(K.E to fall) = 0.758K.E to fall straight down

1 - 0.758 = 0.24

μmgcos(35) = 0.24(mgsin(35)

μcos(35) = 0.24(sin(35)

μ = 0.168

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An Independent Set S of graph G = (V, E) is a set of vertices such that no two vertices in S are adjacent to each other. It consists of non-adjacent vertices.

A vertex is a location in geometry where two or more curves, lines, or edges converge.

As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.

Hence, in order to find when a set of vertices in a graph is independent, this means that no two vertices in S are adjacent to each other. It consists of non-adjacent vertices.

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Answer:

The meaning of work is a force that acts on an object and the object moves in respond and the meaning of power is how much work is done in a given amount of time. The two terms are related by is that power is the rate of doing work.

Explanation:

Answer:

θ = 33°

Explanation:

Here, we can use the formula for the total time of flight of a projectile to calculate the launch angle of frog:

\(T = \frac{2\ u\ Sin\theta}{g} \\\\Sin\theta = \frac{Tg}{2u}\)

where,

θ = launch angle = ?

T = Total time of flight = 0.6 s

g = acceleration due to gravity = 9.81 m/s²

u = launch speed = 5.4 m/s

Therefore,

\(Sin\theta = \frac{(0.6\ s)(9.81\ m/s^2)}{(2)(5.4\ m/s)}\\\\\theta = Sin^{-1}(0.545)\)

θ = 33°

The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.

Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.

There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider

On the number line, we can see the movement as follows

1 0 -1 -2 -3= 4km

Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.

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Answer:

Vy = 4.43 m/s

Explanation:

given data

velocity = 9 m/sec

angle horizontal = 29.5 degrees

solution

we get here ball initial vertical velocity will be here

Vy = v sinθ       ...........................1

put here value and we get

Vy = 9 × sin(29.5 )  

Vy = 4.43 m/s

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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Answer:

a. the amount of work done on a system is dependent of pathway

Explanation:

The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system.

ΔU = Q - W

Where;

Q, the net heat transfer into the system depends on the pathway

W, the net work done by the system also depends on the pathway

But, ΔU, the change in internal energy is independent of pathway

Therefore, the correct option is "A"

a. the amount of work done on a system is dependent of pathway

Answer:

8 joules

Explanation:

Just did it

Answer:

8 J

Explanation:

Potential energy = mass x gravitational field strength x height

Gravitational field strength is accelerations due to gravity which is 9.8m/s² ( you can round it up and take 10 as well)

Mass = Force ÷ Acceleration

20 ÷ 9.8 = 2.04

Potential energy = 2.04 x 9.8 x 0.40

= 7.99 = 8 J

Answer:

In my opinion, ''A" would be the longest wavelength.

Answer:

A and B is positive charge

C_negative

Explanation:

because when an ebonite is rubbed with fur produce negative charge due to law of electrostatic like charge repel and unlike attract

Given:

The magnitude of each charge is q1 = q2 = 1 C

The distance between them is r = 1 m

To find the force when distance is doubled.

Explanation:

The new distance is

The force can be calculated by the formula

Here, k is the constant whose value is

On substituting the values, the force will be

The creation of an individual's ethnic identity also includes their self-categorization Thermodynamics  within and psychological ties to their ethnic group (s).

Children's ethnicity gives them a sense of connection and helps them to understand who there are and where she came from. Nonetheless, ethnicity can cause conflicts between people, and children who belong to a minority ethnic group may grow despite looking less significant in society.

They point out that ethnicity, as a scientific term, enables researchers to distinguish between different people-groups based on their lineage, language, customs, philosophy, culture, or country without relying on the physical qualities that are essential to the notion of ethnicity (Atkinson et al., 1998).

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Based on the observations during the experiment, the car's velocity can be described as follows. .

The car had a   constant speed of approximately 60 km/h throughout the experiment,indicating a consistent rate of motion.

In terms of   direction, the car initially traveledin a straight line towards the east.

However, after a certain point,   it made a sharp turn towards the north, changing its direction but maintaining thesame speed.

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If Dominic has a brain injury, then he must have sustained a serious injury.

The brain coordinates all the activities in the body such as speech, locomotion, coordination and intelligence. This makes the brain the master point of control in the body.

Whenever there is an injury to the brain, various parts of the body could be affected. Functions such as speech, locomotion and general coordination may become largely impaired.

Therefore, if Dominic has a brain injury, then he must have sustained a serious injury.

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When the liquid cools down, it loses heat energy.

As the liquid cools, it loses heat energy. As a result, its particles slow down in movement and come closer to one another. Attractive forces begin to hold particles and the crystals of a solid form.

If water is cooled, it can change into ice. If ice is warmed, it can change into a liquid state. Heating a substance makes the molecules move very fast whereas cooling a substance makes the molecules move very slowly.

Heating a liquid increases the speed of the molecules present in it. An increase in the molecule's speed competes with the attraction between molecules and results in the molecules moving apart whereas Cooling a liquid decreases the movement of the molecules.

So we can conclude that the liquid cools down when it loses heat energy.

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Answer:

\(Velocity=\frac{dx}{dt}\)

Explanation:

Remember that instantaneous velocity is just a measure to know the velocity that any object has at any point given in time, so we just need to know the distance it has travel, which would be the change in position, and the time it took that change in position to occurr, this means distance by time, so we just divide dx by dt and we have the solution for instantaneous velocity.

If a change in position as denoted by \(dx\) and \(dt\) change in time, the instantaneous velocity will be given by,

\(v = \dfrac {dx}{dt}\)

\(v = \dfrac {dx}{dt}\)

Where,

\(v\) - instantaneous velocity

\(dt\)   - change in distance (position)

\(dt\)- change in time

Therefore, if a change in position as denoted by \(dx\) and \(dt\)change in time, the instantaneous velocity will be given by,

\(v = \dfrac {dx}{dt}\)

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Answer:

Percent composition is calculated from a molecular formula by dividing the mass of a single element in one mole of a compound by the mass of one mole of the entire compound. This value is presented as a percentage.

Explanation:

Hope this helps..

Answer:

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

And

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, none of something is zero percent. ... A percentage can also mean a portion of something but only when it has to do with numbers.

hope this helps

Explanation:

A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.

Answer:

BaF2

Explanation:

since you got the valence numbers just do the scissors move where you:

give the F the 2 and give the Ba the 1 so it be like

BaF2 here is the chemical compound

The distance between two objects of radius 6 cm and 2 cm is zero

To find the distance between two objects with radii of 6 cm and 2 cm, we need to consider the center-to-center distance between the objects and subtract the sum of their radii.

Let's denote the radii of the objects as r1 = 6 cm and r2 = 2 cm.

The distance between the centers of the objects can be represented as d = r1 + r2. Adding the radii ensures that we account for the space occupied by both objects.

Substituting the values, we have d = 6 cm + 2 cm = 8 cm.

Now, to find the actual distance between the objects, we subtract the sum of their radii from the center-to-center distance:

Distance = d - (r1 + r2) = 8 cm - (6 cm + 2 cm) = 8 cm - 8 cm = 0 cm.

The resulting distance is 0 cm, indicating that the objects are in direct contact with each other. This means that their surfaces are touching. When the distance between two objects is zero, it implies that they are overlapping or in physical contact. In this case, since the distance is equal to 0 cm, the two objects are touching each other, with their surfaces coming into contact.

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